English

A New Definition of the Steenrod Operations in Algebraic Geometry

K-Theory and Homology 2008-05-13 v1 Algebraic Geometry

Abstract

The Steenrod operations (mod p) in Chow theory are defined for any prime p for a quasi-projective scheme, without appealing to the results of any domain but Milnor's K-theory. The new definition also gives a direct formula that depends only on the scheme itself. Additionally, basic properties of the operations are proved from the new definition. The idea is based on a construction of M. Rost.

Keywords

Cite

@article{arxiv.0805.1414,
  title  = {A New Definition of the Steenrod Operations in Algebraic Geometry},
  author = {Alex Boisvert},
  journal= {arXiv preprint arXiv:0805.1414},
  year   = {2008}
}